Singular Indefinite Sturm-Liouville Operators with a Spectral Gap |
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| Authors: | Jussi Behrndt Roland Möws Carsten Trunk |
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| Affiliation: | 1. Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany;2. Institut für Mathematik, Technische Universität Ilmenau, PF 10056, 98684 Ilmenau, Germany |
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| Abstract: | ![]()
Singular Sturm-Liouville operators with the indefinite weight sgn(·) and a symmetric potential which has a positive limit at ∞ have a gap in the essential spectrum. Under an additional condition it is shown that in this gap are no eigenvalues. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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